Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 845, 160, 87, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 160, 87, 284 is 1
GCD(845, 160, 87, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 160, 87, 284 is 1
GCD(845, 160, 87, 284) = 1
Given Input numbers are 845, 160, 87, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 845, 160, 87, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 160, 87, 284 is 1.
Therefore, GCD of numbers 845, 160, 87, 284 is 1
Given Input Data is 845, 160, 87, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 87 is 3 x 29
Prime Factorization of 284 is 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(845, 160) = 27040
GCD(845, 160) = ( 845 x 160 ) / 27040
GCD(845, 160) = 135200 / 27040
GCD(845, 160) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 87) = 435
GCD(5, 87) = ( 5 x 87 ) / 435
GCD(5, 87) = 435 / 435
GCD(5, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 845, 160, 87, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 160, 87, 284?
GCD of 845, 160, 87, 284 is 1
2. Where do I get the detailed procedure to find GCD of 845, 160, 87, 284?
You can find a detailed procedure to find GCD of 845, 160, 87, 284 on our page.
3. How to find GCD of 845, 160, 87, 284 on a calculator?
You can find the GCD of 845, 160, 87, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.